Area and volume of plane figures Important Theorems, math Assignment Help

IMPORTANT THEOREMS

(1)The area of a triangle is half the product of any of its sides and the corresponding altitude.

ar ΔABC =1/2*BC*AD

(2)Triangles on the same base and between the same parallels are equal in area.

(3)Triangles having equal areas and having one side of one of the triangles equal to side of the other save their corresponding altitutde equal.

(4)A diagonal of a parallelogram divides it into two triangles of equal area.

(5)The area of a parallelogram is the product of its any sides and the corresponding altitude or ar ||gm ABCD = AB × DE.

(6)Parallelograms on equal bases and between the same parallels are equal in area.

(7)If a triangle and a parallelogram are on the same base and between the same parallels, the area of the triangle is equal to half that of the parallelogram.

(8)The area of a trapezium is half the product of its height and the sum of the parallel sides.

ar = 1/2× AE × (AB + CD)

(9)A parallelogram and a rectangle on the same base and between the same parallels are equal in area.

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